CORDIS Project
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This project explores Kac-Moody groups, aiming to understand their structure beyond the affine case through both analytical and algebraic methods. It focuses on constructing concrete representations of these groups, particularly for hyperbolic types, with applications in theoretical physics.
Lie theory was created at the end of the 19th century, and rapidly became a central chapter of contemporary mathematics.
Finite-dimensional Lie groups and Lie algebras were extensively studied for more than a century, and are well understood.
In attempting to generalise the finite-dimensional objects, one can roughly distinguish two general approaches, one "analytic" (keeping the smooth manifold structure of Lie groups) and the other “algebraic” (which is best represented by the algebraic constr…
FRIEDRICH-ALEXANDER-UNIVERSITAET ERLANGEN-NUERNBERG
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